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Fundamental mathematics-rotation and reflection

Question:

Fundamental Mathematics: Rotation & Reflection

We use matrices, eigenvalues and eigenvectors to solve the following:

Let f be the rotation in the 3-dimensional space about the x-axis through the angle pi/2 and g be the rotation about the y-axis through the same angle. Describe the rotation f g. Let h be the reflection in the plane orthogonal to the vector 2i - j + 3k. Describe the reflection f h.

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Algebra: Fundamental mathematics-rotation and reflection

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